Multiplying Polynomials

Question

A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (3x − 2) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 8 inches.

Answer 1

Jourdyn M.

 

Multiplying Polynomials

A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (3x − 2) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 8 inches.

Area of a PARALLELOGRAM = Base x Height

A = X(3X - 2)

A = 3X² - 2X Polynomial Describing The Area of a Stone.

Area of a STONE that is 8 inches long. i.e. The BASE is 8 inches long.

A = 8((3)(8) - 2)

= 8(24 - 2)

= 8(22)

= 176 sq in

Hope this was helpful Jourdyn.